A simple symmetric network that consists of two tangent rings on which vehicles obey the kinematic wave theory of traffic flow and can switch rings at the point of tangency is studied. An online adaptive simulation reveals that if there is any turning whatsoever, the two-ring system becomes unevenly loaded for densities greater than the optimal density, and reduces traffic flow. Furthermore, the two-ring system jams at significantly lower densities than the maximum density possible.
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References
1.
DaganzoC. F.Improving City Mobility Through Gridlock Control: An Approach and Some Ideas. Volvo Working Paper UCB-ITS-VWP-2005-1. University of California, Berkeley, 2005.
2.
DaganzoC. F., and GeroliminisN.An Analytical Approximation for the Macroscopic Fundamental Diagram of Urban Traffic. Transportation Research Part B, Vol. 42, No. 9, 2008, pp. 771–781.
3.
LighthillM. J., and WhithamG. B.On Kinematic Waves. I: Flow Movement in Long Rivers. II: A Theory of Traffic Flow on Long Crowded Roads. Proc., Royal Society of London Series A, Mathematical and Physical Sciences, Vol. 229, 1955, pp. 281–345.
4.
RichardsP.Shock Waves on the Highway. Operations Research, Vol. 4, No. 1, 1956, pp. 42–51.
5.
GeroliminisN., and DaganzoC. F.Existence of Urban-Scale Macroscopic Fundamental Diagrams: Some Experimental Findings. Transportation Research Part B, Vol. 42, No. 9, 2008, pp. 759–770.
6.
GonzalesE., ChavisC., LiY., and DaganzoC. F.Multimodal Transport Modeling for Nairobi, Kenya: Insights and Recommendations with an Evidence Based Model. Volvo Working Paper UCB-ITS-VWP-2009-5. University of California, Berkeley, 2009.
7.
MazloumianA., GeroliminisN., and HelbingD.The Spatial Variability of Vehicle Densities as Determinant of Urban Network Capacity. Philosophical Transactions for the Royal Society A, Vol. 368, No. 1928, 2010, pp. 4627–4647.
8.
DaganzoC. F., GayahV. V., and GonzalesE.Macroscopic Relations of Urban Traffic Variables: Bifurcations, Mulitvaluedness and Instability. Transportation Research Part B, Vol. 45, No. 1, 2011, pp. 278–288.
9.
DaganzoC. F.In Traffic Flow, Cellular Automata = Kinematic Waves. Transportation Research Part B, Vol. 40, No. 5, 2006, pp. 396–403.
10.
NagelK., and SchreckenbergM.A Cellular Automaton Model for Freeway Traffic. Journal de Physique I, Vol. 2, No. 12, 1992, pp. 2221–2229.
11.
EdieL.Discussion of Traffic Stream Measurements and Definitions. Proc., 2nd International Symposium on the Theory of Traffic Flow, Organisation for Economic Co-operation and Development, Paris, 1965, pp. 139–154.
12.
GayahV. V., and DaganzoC. F.Clockwise Hysteresis Loops in the Macroscopic Fundamental Diagram. Transportation Research Part B, Vol. 45, No. 4, 2011, pp. 643–655.